Home / 768-906

Finding the Third Proportional to 768 and 906

Calculator

Solution

The third proportional to 768 and 906 is: 1,068.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    768 : 906 = 906 : x
  2. Step 2: Convert to fraction form
    768/906 = 906/x
  3. Step 3: Cross multiply
    768x = 906 × 906
  4. Step 4: Simplify right side
    768x = 820,836
  5. Step 5: Solve for x
    x = 820,836/768
  6. Step 6: Final answer
    x = 1,068.80

Related Problems

Find third proportional to 384 and 453
Half scale
Find third proportional to 1,536 and 1,812
Double scale
Find third proportional to 770 and 908
Similar ratio
Find third proportional to 1,152 and 1,359
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.